F + s = 10
| f - s | = 18
-------
This means that:
f = 10 - s
And also that:
| f - s | = 18
(f-s)²=18²
f²- 2sf + s² = 324
But f=10-s
So...
(10-s)² - 2s(10-s) + s² = 324
(10-s)(10-s) - 20s + 2s² + s² = 324
100 - 20s + s² - 20s + 2s² + s² = 324
4s² - 40s + 100 = 324
4s² - 40s + 100 - 324 = 0
4s² - 40s - 224 = 0
1/4 * (4s² - 40s - 224) = 1/4 * 0
s² - 10s - 56 = 0
(s-14)(s+4)=0
So s can be either 14 or -4.
When s = 14, f = -4.
When s = -4, f = 14.
Given :
Maximum capacity of fuel tank , M = 14 gallon .
It can travel approximately 26 miles with one gallon of gas.
To Find :
A function d(x), that gives the distance the Escape can travel with x gallons of gas in the tank.
Solution :
Car can travel 26 miles in one gallon of gas.
So , distance covered in x gallon of gas :
( Here, 0 ≤ x ≤ 14 ) or x ∈ [ 0 , 14 ] .
Hence , this is the required solution.
Set up a proportion here as the height over the shadow of the adult = to the height over the shadow of the baby. so you have 12/4.8 = height/2. cross multiply to get 12*2=4.8 times height, which is 24 = 4.8*height. divide both sides by 4.8 to get height = 5 feet
12/142 of total number of people buying tickets go to theater a.
Given that total is 1704,
no. of people go to theater a
=6/71×1704
=144 people
It proves that 203 is not a term of the particular a.P